login
a(n) is the coefficient of x^n in the polynomial Product_{i=1..n+2} (prime(i)*x-1).
3

%I #55 Aug 19 2019 23:11:08

%S 1,10,101,1358,20581,390238,8130689,201123530,6166988769,201097530280,

%T 7754625545261,329758834067168,14671637258193181,711027519310719868,

%U 38706187989054920001,2338431642812927422310,145908145906128304198449,9976861293427674211625032

%N a(n) is the coefficient of x^n in the polynomial Product_{i=1..n+2} (prime(i)*x-1).

%H Alexey V. Bazhin, <a href="/A309802/b309802.txt">Table of n, a(n) for n = 0..300</a>

%F a(n) = [x^n] Product_{i=1..n+2} (prime(i)*x-1).

%F a(n) = abs(A070918(n+2,2)).

%F a(n) = abs(A238146(n+2,n)) for n>0.

%F a(n) = A260613(n+2,n).

%p a:= n-> coeff(mul(ithprime(i)*x-1, i=1..n+2), x, n):

%p seq(a(n), n=0..20); # _Alois P. Heinz_, Aug 18 2019

%Y Cf. A000040, A002110, A024451, A070918, A309803, A309804, A033999, A007504, A024447, A024448, A024449, A054640, A005867, A238146, A260613.

%K nonn,easy

%O 0,2

%A _Alexey V. Bazhin_, Aug 17 2019